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HCF Worksheet

Vedic maths trick 36: HCF by subtraction · Set 325 · 40 sums
TalentJR

The trick (Sankalana-Vyavakalanabhyam): Take the smaller number away from the bigger one, as many times as it goes. Now use the smaller number and what is left. Repeat until nothing is left: the last number before 0 is the HCF.

NameDateTime takenScore ___ / 40
  1. 1.HCF of 168 and 312 =
  2. 2.HCF of 24 and 18 =
  3. 3.HCF of 80 and 15 =
  4. 4.HCF of 304 and 288 =
  5. 5.HCF of 42 and 35 =
  6. 6.HCF of 180 and 306 =
  7. 7.HCF of 15 and 51 =
  8. 8.HCF of 54 and 180 =
  9. 9.HCF of 72 and 20 =
  10. 10.HCF of 54 and 72 =
  11. 11.HCF of 126 and 91 =
  12. 12.HCF of 231 and 126 =
  13. 13.HCF of 154 and 121 =
  14. 14.HCF of 14 and 16 =
  15. 15.HCF of 238 and 98 =
  16. 16.HCF of 96 and 42 =
  17. 17.HCF of 54 and 24 =
  18. 18.HCF of 28 and 68 =
  19. 19.HCF of 285 and 38 =
  20. 20.HCF of 304 and 176 =
  21. 21.HCF of 104 and 195 =
  22. 22.HCF of 20 and 35 =
  23. 23.HCF of 48 and 256 =
  24. 24.HCF of 169 and 130 =
  25. 25.HCF of 125 and 200 =
  26. 26.HCF of 161 and 299 =
  27. 27.HCF of 187 and 170 =
  28. 28.HCF of 170 and 323 =
  29. 29.HCF of 6 and 32 =
  30. 30.HCF of 315 and 336 =
  31. 31.HCF of 108 and 24 =
  32. 32.HCF of 16 and 152 =
  33. 33.HCF of 112 and 160 =
  34. 34.HCF of 32 and 76 =
  35. 35.HCF of 15 and 70 =
  36. 36.HCF of 144 and 162 =
  37. 37.HCF of 133 and 28 =
  38. 38.HCF of 286 and 242 =
  39. 39.HCF of 184 and 299 =
  40. 40.HCF of 147 and 420 =

Answer key

  1. 24
  2. 6
  3. 5
  4. 16
  5. 7
  6. 18
  7. 3
  8. 18
  9. 4
  10. 18
  11. 7
  12. 21
  13. 11
  14. 2
  15. 14
  16. 6
  17. 6
  18. 4
  19. 19
  20. 16
  21. 13
  22. 5
  23. 16
  24. 13
  25. 25
  26. 23
  27. 17
  28. 17
  29. 2
  30. 21
  31. 12
  32. 8
  33. 16
  34. 4
  35. 5
  36. 18
  37. 7
  38. 22
  39. 23
  40. 21

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